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52181835608 = 23753612331237
BaseRepresentation
bin110000100110010001…
…111001111101011000
311222200122022220102002
4300212101321331120
51323332022214413
635545541500132
73525054166340
oct604621717530
9158618286362
1052181835608
1120148316481
12a143711648
134bc7ab1606
1427503ddd20
1515561c4958
hexc26479f58

52181835608 has 128 divisors (see below), whose sum is σ = 116386657920. Its totient is φ = 21471989760.

The previous prime is 52181835583. The next prime is 52181835617. The reversal of 52181835608 is 80653818125.

It is a happy number.

52181835608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42183566 + ... + 42184802.

It is an arithmetic number, because the mean of its divisors is an integer number (909270765).

Almost surely, 252181835608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52181835608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58193328960).

52181835608 is an abundant number, since it is smaller than the sum of its proper divisors (64204822312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52181835608 is a wasteful number, since it uses less digits than its factorization.

52181835608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 52181835608 in words is "fifty-two billion, one hundred eighty-one million, eight hundred thirty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 53 56 61 106 122 212 233 244 371 424 427 466 488 742 854 932 1237 1484 1631 1708 1864 2474 2968 3233 3262 3416 4948 6466 6524 8659 9896 12349 12932 13048 14213 17318 22631 24698 25864 28426 34636 45262 49396 56852 65561 69272 75457 86443 90524 98792 99491 113704 131122 150914 172886 181048 198982 262244 288221 301828 345772 397964 458927 524488 528199 576442 603656 691544 753289 795928 917854 1056398 1152884 1506578 1835708 2017547 2112796 2305768 3013156 3671416 3999221 4035094 4225592 5273023 6026312 7998442 8070188 10546046 15275713 15996884 16140376 17581481 21092092 27994547 30551426 31993768 35162962 42184184 55989094 61102852 70325924 106929991 111978188 122205704 123070367 140651848 213859982 223956376 246140734 427719964 492281468 855439928 931818493 984562936 1863636986 3727273972 6522729451 7454547944 13045458902 26090917804 52181835608